In the camival game Under-or-Over-Seven, a pair of fair dice is rolled once, and the resulting...

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In the camival game Under-or-Over-Seven, a pair of fair dice is rolled once, and the resulting sum determines whether the player wins or loses his or her bet. For example, using method one, the player can bet $3.00 that the sum will be under 7, that is, 2, 3, 4, 5, or 6. For this bet, the player wins $3.00 if the result is under 7 and loses $3.00 if the outcome equals or is greater than 7. Similarly using method two, the player can bet $3.00 that the sum will be over 7, that is, 8, 9, 10, 11, or 12. Here, the player wins $3.00 if the result is over 7 but loses $3.00 if the result is 7 or under ther method of play is to bet $3.00 on the outcome 7. For this bet, the player wins $12.00 the result of the roll is 7 and loses $3.00 otherwise. Complete parts (a) through (d) Click the icon to view a table of all possible outcomes of a two dice roll a. Construct the probability distribution representing the different outcomes that are possible for a $3.00 bet using method one. P(X) (Type an exact answer in simplified form) Data table Outcomes of a two dice roll D 1 2 3 456 1 2 3 4 5 6 7 2 3 4 5 6 7 8 4 5 6 7 8 9 10 5 6 7 8 9 10 11 7 8 9 10 11 12 Print Done X In the camival game Under-or-Over-Seven, a pair of fair dice is rolled once, and the resulting sum determines whether the player wins or loses his or her bet. For example, using method one, the player can bet $3.00 that the sum will be under 7, that is, 2, 3, 4, 5, or 6. For this bet, the player wins $3.00 if the result is under 7 and loses $3.00 if the outcome equals or is greater than 7. Similarly using method two, the player can bet $3.00 that the sum will be over 7, that is, 8, 9, 10, 11, or 12. Here, the player wins $3.00 if the result is over 7 but loses $3.00 if the result is 7 or under ther method of play is to bet $3.00 on the outcome 7. For this bet, the player wins $12.00 the result of the roll is 7 and loses $3.00 otherwise. Complete parts (a) through (d) Click the icon to view a table of all possible outcomes of a two dice roll a. Construct the probability distribution representing the different outcomes that are possible for a $3.00 bet using method one. P(X) (Type an exact answer in simplified form) Data table Outcomes of a two dice roll D 1 2 3 456 1 2 3 4 5 6 7 2 3 4 5 6 7 8 4 5 6 7 8 9 10 5 6 7 8 9 10 11 7 8 9 10 11 12 Print Done X